75 citations · 304 across the 24 of their papers we have counts for
4 papers · 1 filter
On the decay of the inverse of matrices that are sum of Kronecker products
Claudio Canuto, Valeria Simoncini, Marco Verani
Decay patterns of matrix inverses have recently attracted considerable interest, due to their relevance in numerical analysis, and in applications requiring matrix function approxi…
Legendre-Gauss-Lobatto grids and associated nested dyadic grids
Kolja Brix, Claudio Canuto, Wolfgang Dahmen
Legendre-Gauss-Lobatto (LGL) grids play a pivotal role in nodal spectral methods for the numerical solution of partial differential equations. They not only provide efficient high-…
The derivation of continuum limits of neuronal networks with gap-junction couplings
Claudio Canuto, Anna Cattani
We consider an idealized network, formed by N neurons individually described by the FitzHugh-Nagumo equations and connected by electrical synapses. The limit for N to infinity of t…
Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods, Part I: Geometrically Conforming Meshes
Kolja Brix, Martin Campos Pinto, Claudio Canuto +1
This paper is concerned with the design, analysis and implementation of preconditioning concepts for spectral Discontinuous Galerkin discretizations of elliptic boundary value prob…